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Finding the Fourth Proportional to 3,347.43, 5,019.21 and 1,155.57

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Solution

The fourth proportional to 3,347.43, 5,019.21 and 1,155.57 is: 1,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.43 : 5,019.21 = 1,155.57 : x
  2. Step 2: Convert to fraction form
    3,347.43/5,019.21 = 1,155.57/x
  3. Step 3: Cross multiply
    3,347.43x = 5,019.21 × 1,155.57
  4. Step 4: Simplify right side
    3,347.43x = 5,800,048.50
  5. Step 5: Solve for x
    x = 5,800,048.50/3,347.43
  6. Step 6: Final answer
    x = 1,732.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.